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274428200 = 23521499209
BaseRepresentation
bin10000010110110…
…111000100101000
3201010101101201102
4100112313010220
51030223200300
643121540532
76541413134
oct2026670450
9633341642
10274428200
111309a8a72
1277aa4748
1344b16567
14286383c4
151915c0d5
hex105b7128

274428200 has 48 divisors (see below), whose sum is σ = 642397500. Its totient is φ = 109022720.

The previous prime is 274428197. The next prime is 274428233. The reversal of 274428200 is 2824472.

It can be written as a sum of positive squares in 6 ways, for example, as 14638276 + 259789924 = 3826^2 + 16118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25196 + ... + 34404.

Almost surely, 2274428200 is an apocalyptic number.

274428200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321198750).

274428200 is an abundant number, since it is smaller than the sum of its proper divisors (367969300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

274428200 is a wasteful number, since it uses less digits than its factorization.

274428200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 274428200 is about 16565.8745618817. The cubic root of 274428200 is about 649.8446966244.

The spelling of 274428200 in words is "two hundred seventy-four million, four hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 9209 14900 18418 29800 36836 46045 73672 92090 184180 230225 368360 460450 920900 1372141 1841800 2744282 5488564 6860705 10977128 13721410 27442820 34303525 54885640 68607050 137214100 274428200